Statistical Sciences 1023A/B Lecture Notes - Lecture 14: Mercedes-Benz W140

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Relative-frequency interpretation: applies to situations that can be repeated over and over again. Buying a weekly lottery ticket and observing whether it is a winner. Commuting to work daily and observing whether a certain traffic signal is red when we encounter it. Testing individuals in a population and observing whether they carry a gene for a certain disease. Observing births and noting if the baby is male or female. Long-run relative frequency of males born in the united states is about 0. 512. Possible results for relative frequency of male births: Proportion of male births jumps around at first but starts to settle down just above 0. 51 in the long run. Chance behaviour is unpredictable in the short run but has a regular and predictable pattern in the long run. This is why we can use probability to gain useful results from random samples and randomized comparative experiments.

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